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Master Math: Calculus by Debra Anne Ross

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Chapter 7 Vector Calculus

This chapter is designed to provide definitions, formulas, and brief explanations that are important in vector calculus, and also provide a context for how the topics described fit into the subject of calculus.

7.1 Summary of Scalars, Vectors, the Directional Derivative, and the Gradient

• This section provides a brief summary of scalars, vectors, the directional derivative, and the gradient. See Chapter 5 for more information on vectors and Chapter 6 for more information on the directional derivative and the gradient.

Scalars and Vectors

Scalar functions are functions whose values are scalars. Similarly, vector functions are functions whose values are vectors. A scalar function in three dimensions f = f(x,y,z) is ...

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